Basic Math Questions and Answers

Solve: 3x = 6/7 x = 3/7 x = 21/7 x= 2/7

Solve by completing the square. w²+28w 29 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. W = or w=

A rock is dropped from a bridge 320 feet above a river. The pathway that the rock takes can be modeled by the equation h the rock to reach the river? 2.5 sec 3.5 sec 3.8 sec 4.5 sec

Jaycee has a stick of length 4.32 m. She joined another stick with the old one. The total length of the stick now is one-fourth of 52 m. What is the length of the stick she has joined? 56.32 m 8.68 m 47.68 m

Chelsea needs to make a repair. The parts cost $30, $270, and $310 and labor is 4 hours at $60 per hour. Sales tax is 7%. Sales tax is charged on the parts but not on the labor. What is the cost for the repair? $892.70 $909.50

Dale's van gets 21 mpg. He wants to visit his family for the holidays and they live 240 miles away. How much CO2 will Dale produce on his trip? 0.6 pounds of CO2 226.3 pounds of CO2 1.1 pounds of CO2 11.4 pounds of CO2

A grocery store chain has been tracking data on the number of shoppers that use coupons. The data shows that 71% of all shoppers use coupons. 36 times out of 40 these results were considered accurate to within 2.5%. What is the confidence interval? 16 to 20 15.5 to 20.5 .685 to.735 6975 to.7225

The measure A, in degrees, of an exterior angle of a regular polygon is related to the number of sides, n,of the polygon by the formula above. If the measure of an exterior angle of a regular polygon is greater than 50º, what is the greatest number of sides it can have? 5 6 7 8

You determine that you need 80 square feet of carpet for your bedroom, but the carpet store needs the measurement in square yards. Choose the value that is closest to your needs. 26.7 square yards 9 square yards 7 square yards 80 square yards

Simplify the following expression by using the power of a power property. Enter your answer in the form a^b. (4³) 5 =

The sum of three consecutive even integers is 36. Find the integers. 8, 10, 12 10, 12, 14 16, 18, 20

Lily is deciding between two truck rental companies. Company A charges an initial fee of $60 for the rental plus $2 per mile driven. Company B charges an initial fee of $95 for the rental plus $1 per mile driven. Let A represent the amount Company A would charge if Lily drives miles, and let B represent the amount Company B would charge if Lily drives x miles. Write an equation for each situation, in terms of x, and determine the interval of miles driven, x, for which Company A is cheaper than Company B.

Evaluate the given expression cd2 where c = 15 and d = 12. 2480 2160 2256

Rachel has 85 crayons which is 37 less than twice Joshua has. Which of the following represents the given situation? 2n* 37= 85 2n+37=85 2 n-37= 85

The length of a small rectangular garden is 3 meters more than its width. If the perimeter of the garden is 34 meters, find its width. 8 m 10 m 7m

Brian needs to make a repair. The parts cost $410 and $210 and labor is 4 hours at $50 per hour. Sales tax is 7%. Sales tax is charged on the parts but not on the labor. What is the cost for the repair? $863.40 $877.40

Tina needs to make a repair. The part costs $255 and labor is 3 hours at $40 per hour. Sales tax is 7%. Sales tax is charged on the parts but not on the labor. True or False: It cost $398.56 for the repair. True False

A rectangular room has an area of 315 square feet. The length is 6 feet more than the width. Find the dimensions of the room. A. 9 feet, 15 feet B. 15 feet, 21 feet C. 21 feet, 27 feet D. 17 feet, 23 feet

MODELING WITH MATHEMATICS One of the largest sewing machines in the world has a flywheel (which turns as the machine sews) that is 5 feet in diameter. The highest point of the handle at the edge of the flywheel is 9 feet above the ground, and the lowest point is 4 feet. The wheel makes a complete turn every 2 seconds. Write a model for the height h (in feet) of the handle as a function f the time (in seconds) given that the handle is at its lowest point when /=0.

Samples can help in estimating a population mean. Which of the following sample sizes would have the lowest variability in the sampling distribution? 30 300 3 30000

Brendan needs to make a repair. The parts cost $120 and $95 and labor is 3 hours at $50 per hour. Sales tax is 6%. Sales tax is charged on the parts but not on the labor. What is the cost for the repair? O $377.90 O $378.90

You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 32 cubic cm. Determine the dimensions of the box that will minimize the surface area, where x is the length of each side of the base and y is the height of the box.

Solve by completing the square. 3z² + 30z - 33 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. Z or z =

Suppose we assume Google Maps is accurate 99.7% of the time. We then track the next 1000 trips we take using Google Maps and record the accuracy. What will be the shape of the sampling distribution of the sample proportion? Not approximately Normal skewed left normal skewed right

A sporting event held at a high school had 135 attendees. The event earned a total of $930. Admission to the event was $10 for adults and $4 for students. How many adults (a) and how many students (s) attended? a + s = 135 10a + 4s $930

Solve the equation x + 5.5 = 24. 29.5 20.5 18.5

A plane flew for 4 hours heading south and for 6 hours heading east. If the total distance traveled was 3,370 miles, and the plane traveled 45 miles per hour faster heading south, at what speed was the plane traveling east? (Do not include the units in your response.)

A certain drug dosage calls for 9 mg per kg per day and is divided into two doses (1 every 12 hours). If a person weighs 237 pounds, how many milligrams of the drug should he receive every 12 hours? (Round your answer to the nearest whole milligram.)

The gas tank of a 2010 Ford Focus holds 13.5 gallons. How many pounds of carbon dioxide are produced by burning an entire tank of gas? Express your answer rounded to the nearest tenth of a pound. lb of CO₂

If you use your portable stereo 35 hours per week, and do not unplug it when it is not in use, how much carbon dioxide is produced from the vampire energy used by the portable stereo in one year ? help (energyvampires) Express your answer rounded to the nearest tenth of a pound of carbon dioxide. lb of CO₂

An Air Conditioner uses 1200 Watts of electricity and local emissions from electricity produce 1.37 pounds of CO2 per kWh. If you run the AC for 2 less hours, how many pounds of CO2 would you keep from entering the atmosphere? 0.822 1.644 3.288 1.752

Graph the following function. y=-1-5 cos 4x

On the day their son, Peter, was born, Madeline and Ben invested $1500 for his education at 6.7% interest, compounded quarterly. Today is Peter's birthday. He is 19 years old and wants to go to college. a) Circle the four important pieces of information in the question. b) Use a TMV Solver to determine the value of the investment today. Fill in the box on the right. c) How much interest did the investment earn? d) How much interest would the investment have earned in a savings account that paid 0.7% interest per year, compounded yearly? N 1% PV PMT FV P/Y C/Y PMT: END BEGIN

A grocer needs to mix raisins at $2.00 per pound with granola at $3.25 per pound to obtain 10 pounds of a mixture that costs $2.50 per pound. How many pounds of raisins and how many pounds of granola must be used? (5 points)

Scores on an exam are distributed normally with a mean of 72.3 and a standard deviation of 8.9. If 200 students take the exam, how many students would be expected to score higher that 72.3? 100 72.3 200 150

A researcher wants a 68 ounce saline solution with a concentration of 6%. She has concentrations of 3% and 15%. How much of each solution must she use to get the desired concentration? Select the correct answer below: 51 ounces of 3% solution and 17 ounces of 15% solution 49 ounces of 3% solution and 19 ounces of 15% solution 16 ounces of 3% solution and 52 ounces of 15% solution 52 ounces of 3% solution and 16 ounces of 15% solution 19 ounces of 3% solution and 49 ounces of 15% solution 17 ounces of 3% solution and 51 ounces of 15% solution

An airplane travels 1200 miles in 4 hours with the wind. The same trip takes 5 hours against the wind. What is the speed of the plane in still air and what is the wind speed? Select the correct answer below: Speed in still air: 270 mph; Speed of the wind: 30 mph. Speed in still air: 280 mph; Speed of the wind: 40 mph. Speed in still air: 290 mph; Speed of the wind: 50 mph. Speed in still air: 300 mph; Speed of the wind: 60 mph.

In a physiology class, a student mist dissect three different specimens. The student can select one of nine earthworms, one of four frogs, and one of seven fetal pigs. In how many ways can the student select the specimen?

A basketball team sold raffle tickets to raise money for the upcoming season. They sold three different types of tickets: premium for $10, deluxe for $3, and regular for $2. The total number of tickets sold was 276, and the total amount of money from raffle tickets was $855. If 90 more regular tickets were sold than deluxe tickets, how many premium tickets were sold? Provide your answer below:

Does the ordered pair (-6, 6, 1) satisfy the following system of equations? -3x - 5y + 2z = -10 x + 2y - 5z = 1 x-3y - 4z = -28 Select the correct answer below: Yes No

In 1955, Life Magazine reported that the 25-year- old mother of three worked, on average, an 80 hour week. Recently, many groups have been studying whether or not the women's movement has, in fact, resulted in an increase in the average work week for women (combining employment and at-home work). Suppose a study was done to determine if the mean work week has increased. 81 women were surveyed with the following results. The sample mean was 83; the sample standard deviation was ten. Does it appear that the mean work week has increased for women at the 5% level?

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease per unit of x, to the nearest tenth of a percent. y = 600(0.71) x/8

Internet Audience At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z - u = 3(x - y) + 28 x + y = 44+ z + u and x - y + z- u = 52. How large was the audience of each of the four companies at the end of that year? Microsoft Time Warner Yahoo Google

Which property is used to simplify 4/5y + 3(2/5x + 7/5y) to 5y + 6/5x? Distributive property Associative property of multiplication Associative property of addition

Aileen Uzin runs a retail store. Her net sales for the year were $162,000. The cost of the merchandise that she sold was $118,500. Her operating expenses were $28,920. Her net income was what percent of the net sales for the year?

State the p-value. 0.02 .195 2.14 0.04

One hundred rats were exposed to high levels of e-cigarette smoke and were then put through a simple maze. They could make a choice between going left and going right. An SRS of 100 rats was chosen to be part of the experiment.. Eighty of the 100 rats went right when running through the maze. All conditions for inference have been met, Construct a 90% confidence interval for the proportion of rats that run right when going through the maze the first time. (0.722, 0.878) (0.734, 0.736) (0.71, 0.89) (0.76, 0.84)

A hollow glass cone is filled with perfume and placed inside of a hollow cylindrical container with the same height and diameter as the cone. The cylinder will then be filled with packing material. If the cone occupies 60 cm³ of space, how many cubic centimeters of packing material will be needed? A, 60 B. 30 C. 120 D 180

Find the value of the expression 2ab/when a = -1, b = -4, and c = 2. 4 8 6

A painting measuring 120 cm wide by 80 cm tall is mounted in a picture frame. There is a margin of 6 cm wide at the top and each side of the painting. If the painting is similar to the frame, what must be the width of the margin at the bottom of the painting?